What is the Greatest Common Factor of 98260 and 98265?

Greatest common factor (GCF) of 98260 and 98265 is 5.

GCF(98260,98265) = 5

We will now calculate the prime factors of 98260 and 98265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98260 and 98265.

How to find the GCF of 98260 and 98265?

We will first find the prime factorization of 98260 and 98265. After we will calculate the factors of 98260 and 98265 and find the biggest common factor number .

Step-1: Prime Factorization of 98260

Prime factors of 98260 are 2, 5, 17. Prime factorization of 98260 in exponential form is:

98260 = 2² × 5¹ × 17³

Step-2: Prime Factorization of 98265

Prime factors of 98265 are 3, 5, 6551. Prime factorization of 98265 in exponential form is:

98265 = 3¹ × 5¹ × 6551¹

Step-3: Factors of 98260

List of positive integer factors of 98260 that divides 98260 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 4913, 5780, 9826, 19652, 24565, 49130

Step-4: Factors of 98265

List of positive integer factors of 98265 that divides 98260 without a remainder.

1, 3, 5, 15, 6551, 19653, 32755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98260 and 98265. The biggest common factor number is the GCF number.
So the greatest common factor 98260 and 98265 is 5.

Also check out the Least Common Multiple of 98260 and 98265